{"id":1565,"date":"2022-04-20T11:40:51","date_gmt":"2022-04-20T11:40:51","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1565"},"modified":"2024-02-18T15:25:31","modified_gmt":"2024-02-18T15:25:31","slug":"heptagon-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/heptagon","title":{"rendered":"Heptagon &#8211; Definition with Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-242a6bec-f723-4eab-b98e-a026ea6710fb\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/heptagon#0-what-is-a-heptagon>What is a Heptagon?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/heptagon#1-properties-of-heptagon>Properties of Heptagon<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/heptagon#2-types-of-heptagon>Types of Heptagon<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/heptagon#6-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/heptagon#7-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/heptagon#8-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-heptagon\">What is a Heptagon?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A heptagon is a two-dimensional shape with 7 sides and 7 angles. It belongs to the class of polygons in two-dimensional geometry. Polygons are closed shapes made up of straight lines and no curves.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"430\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/regular-heptagon.png\" alt=\"Regular Heptagon\" class=\"wp-image-40034\" title=\"Regular Heptagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/regular-heptagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/regular-heptagon-300x208.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">\u201cHepta\u201d means seven and \u201cgonia\u201d means angle in the Greek language. By combining these two words, the word \u201cheptagon\u201d is formed, meaning a shape with seven angles. In Latin, this polygon is known as septagon, where \u201csepta\u201d means seven and \u201cgon\u201d means angle.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-properties-of-heptagon\">Properties of Heptagon<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">It has seven sides, seven angles, and seven vertices.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Sum of interior angles of a heptagon is 900\u00b0.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"445\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/angles-in-a-heptagon.png\" alt=\"Angles in a Heptagon\" class=\"wp-image-40035\" title=\"Angles in a Heptagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/angles-in-a-heptagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/angles-in-a-heptagon-300x215.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\u29a31 + \u29a32+ \u29a33+ \u29a34+ \u29a35+ \u29a36+ \u29a37 = 900\u00b0$<\/p>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">It has 14 diagonals.<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-types-of-heptagon\">Types of Heptagon<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">There are two types of heptagons based on their shapes. They can be seen below.&nbsp;<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Regular Heptagon<\/strong>: It has equal sides and equal angles. Its all the angles are 128.57\u00b0, and all the sides are of the same length. There are no parallel sides.&nbsp;<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Properties of a Regular Heptagon<\/strong><\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The sum of its exterior angles is 360\u00b0.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The measure of each interior angle is approximately 128.57\u00b0.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"425\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/angle-measure-in-a-regular-heptagon.png\" alt=\"Angle measure in a regular Heptagon\" class=\"wp-image-40033\" title=\"Angle measure in a regular Heptagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/angle-measure-in-a-regular-heptagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/angle-measure-in-a-regular-heptagon-300x206.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ol start=\"4\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The central angle of a regular heptagon measures about 51.43\u00b0.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"386\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/diagonals-in-a-regular-heptagon.png\" alt=\"Diagonals in a regular Heptagon\" class=\"wp-image-40036\" title=\"Diagonals in a regular Heptagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/diagonals-in-a-regular-heptagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/diagonals-in-a-regular-heptagon-300x187.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ol start=\"5\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">A regular heptagon has 14 diagonals.<\/li>\n<\/ol>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Irregular Heptagon<\/strong>: All its sides and angles vary in length and degree respectively. It can have two or more pairs of parallel sides.&nbsp;<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example, look at the given image of the coin and the arrow.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"433\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/real-life-example-of-heptagon-shape.png\" alt=\"Real-life example of Heptagon shape\" class=\"wp-image-40037\" title=\"Real-life example of Heptagon shape\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/real-life-example-of-heptagon-shape.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/real-life-example-of-heptagon-shape-300x210.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Both the objects have 7 sides and are closed, and therefore, heptagonal in shape. However, the coin is in the shape of a regular heptagon, with all sides and angles equal to each other, and the arrow is an irregular heptagon with sides of different lengths and different angles.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"361\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/example-of-irregular-heptagon-shape.png\" alt=\"Example of irregular Heptagon shape\" class=\"wp-image-40038\" title=\"Example of irregular Heptagon shape\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/example-of-irregular-heptagon-shape.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/example-of-irregular-heptagon-shape-300x175.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, don\u2019t be confused when you see such an image, because this is as much a heptagon as the image below!<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-concave-and-convex-heptagon\">Concave and Convex Heptagon<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">There are two other types of heptagons as can be seen below.&nbsp;<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Concave heptagon: At least one of its angles is pointing inwards, while all the other angles are pointing outwards. Also, one or more interior angles of a concave heptagon are more than 180\u00b0.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Convex heptagon: All the interior angles are less than 180\u00b0, and they seem to be pointing outwards. A regular heptagon is always convex.&nbsp;<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"589\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/convex-and-concave-heptagons.png\" alt=\"\" class=\"wp-image-40039\" title=\"Convex and Concave Heptagons\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/convex-and-concave-heptagons.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/convex-and-concave-heptagons-300x285.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-perimeter-of-a-heptagon\">Perimeter of a Heptagon<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The perimeter of a shape means the total length of its boundary. For a polygon, the perimeter is given by given by<br>Perimeter $=$ sum of all sides<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s say we have a regular heptagon with each side measuring \u201ca\u201d unit,<br>The perimeter will be given by the formula,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"532\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/perimeter-of-a-heptagon.png\" alt=\"Perimeter of a Heptagon\" class=\"wp-image-40040\" title=\"Perimeter of a Heptagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/perimeter-of-a-heptagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/perimeter-of-a-heptagon-300x257.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Perimeter $= a + a + a + a + a + a + a = 7 \\times$ a units.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-real-life-examples\">Real-life Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In real life, though we may not always notice them, there are multiple examples of heptagons. Some of them are mentioned below.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"338\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/heptagon-in-real-life.png\" alt=\"Heptagon in real life\" class=\"wp-image-40041\" title=\"Heptagon in real life\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/heptagon-in-real-life.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/heptagon-in-real-life-300x164.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">&nbsp;A cactus: If we see certain cacti from the top, they make up heptagons.<\/li>\n<\/ol>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>&nbsp;<\/strong>A greenhouse: If you look at the front of a greenhouse, you may notice that it has seven sides and seven angles, and thus is a heptagon.<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>1. Find out the perimeter of a regular heptagon with a side of 15 cm.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>: We know that the perimeter of a regular heptagon of side length a is given by,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Perimeter $= 7 \\times$ a,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For the given heptagon, a $= 15$ cm,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Therefore, perimeter $= 7 \\times 15 = 105$ cm<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>2. Find the perimeter of an irregular heptagon with sides measuring 7 cm, 8 cm, 9 cm, 10 cm, 11 cm, 12 cm, and 13 cm.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>: Perimeter is given by,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Perimeter $=$ Sum of all sides<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Therefore, the perimeter of given irregular heptagon $= 7 \\text{cm} + 8 \\text{cm} + 9 \\text{cm} + 10 \\text{cm} + 11 \\text{cm} + 12 \\text{cm} + 13 \\text{cm} = 70 \\text{cm}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>3. What is the side of a regular heptagon with a perimeter of 224 cm?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>: We know that the perimeter of a regular heptagon of side length a is given by,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Perimeter $= 7 \\times$ a,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">It is given that, Perimeter $= 224$ cm<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Therefore, Perimeter $= 7 \\times \\text{a} = 224$ cm<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">a $= 2247$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">a $= 32&nbsp;$cm<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Heptagon - Definition with Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">How many sides does a heptagon have?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">5<\/div><div class=\"spq_answer_block\" data-value=\"1\">6<\/div><div class=\"spq_answer_block\" data-value=\"2\">7<\/div><div class=\"spq_answer_block\" data-value=\"3\">9<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 7<br\/>A heptagon has seven sides.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the measure of each interior angle of a regular heptagon?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">128.57 degrees<\/div><div class=\"spq_answer_block\" data-value=\"1\">152.57 degrees<\/div><div class=\"spq_answer_block\" data-value=\"2\">108 degrees<\/div><div class=\"spq_answer_block\" data-value=\"3\">90 degrees<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 128.57 degrees<br\/>Each interior angle of a regular heptagon measures 128.57 degrees with the sum of all the interior angles being 900 degrees.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">What is the perimeter of a regular heptagon with 12 cm as the side?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">49 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">148 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">144 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">84 cm<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 84 cm<br\/>Perimeter$ = 7 \\times \\text{a}$, where  a $=$ length of each side of the heptagon.<br>\r\nTherefore, Perimeter $= 7 \\times 12 = 84$ cm<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Find the perimeter of an irregular heptagon with sides measuring 10 cm, 12 cm, 14 cm, 16 cm, 18 cm, 20 cm, and 22 cm.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">132 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">168 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">240 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">112 cm<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 112 cm<br\/>Perimeter $=$ sum of all sides<br>\r\nTherefore, the perimeter of a given irregular heptagon $= 10 \\text{cm} + 12 \\text{cm} + 14 \\text{cm} + 16 \\text{cm} + 18 \\text{cm} + 20 \\text{cm} + 22 \\text{cm} = 112 \\text{cm}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Find out the length of each side of a regular heptagon whose perimeter is 154.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">22 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">29 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">15 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">30 cm<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 22 cm<br\/>Perimeter $= 7 \\times \\text{a}$, where  a $=$ length of each side of the heptagon,<br>\r\nTherefore, Perimeter $= 7 \\times \\text{a} = 154$ cm<br>\r\n$\\text{a} = 1547<br>\r\na = 22<br>\r\nThe side is 22 cm.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        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\"Comment\",\n                        \"text\": \"A heptagon has seven sides.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the measure of each interior angle of a regular heptagon?\",\n                    \"text\": \"What is the measure of each interior angle of a regular heptagon?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Each interior angle of a regular heptagon measures 128.57 degrees with the sum of all the interior angles being 900 degrees.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"152.57 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each interior angle of a regular heptagon measures 128.57 degrees with the sum of all the interior angles being 900 degrees.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"108 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each interior angle of a regular heptagon measures 128.57 degrees with the sum of all the interior angles being 900 degrees.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"90 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each interior angle of a regular heptagon measures 128.57 degrees with the sum of all the interior angles being 900 degrees.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"128.57 degrees\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Each interior angle of a regular heptagon measures 128.57 degrees with the sum of all the interior angles being 900 degrees.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Each interior angle of a regular heptagon measures 128.57 degrees with the sum of all the interior angles being 900 degrees.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the perimeter of a regular heptagon with 12 cm as the side?\",\n                    \"text\": \"What is the perimeter of a regular heptagon with 12 cm as the side?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Perimeter$$ = 7 \\\\times \\\\text{a}$$, where  a $$=$$ length of each side of the heptagon.<br>\r\nTherefore, Perimeter $$= 7 \\\\times 12 = 84$$ cm\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"49 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter$$ = 7 \\\\times \\\\text{a}$$, where  a $$=$$ length of each side of the heptagon.<br>\r\nTherefore, Perimeter $$= 7 \\\\times 12 = 84$$ cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"148 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter$$ = 7 \\\\times \\\\text{a}$$, where  a $$=$$ length of each side of the heptagon.<br>\r\nTherefore, Perimeter $$= 7 \\\\times 12 = 84$$ cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"144 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter$$ = 7 \\\\times \\\\text{a}$$, where  a $$=$$ length of each side of the heptagon.<br>\r\nTherefore, Perimeter $$= 7 \\\\times 12 = 84$$ cm\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"84 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter$$ = 7 \\\\times \\\\text{a}$$, where  a $$=$$ length of each side of the heptagon.<br>\r\nTherefore, Perimeter $$= 7 \\\\times 12 = 84$$ cm\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter$$ = 7 \\\\times \\\\text{a}$$, where  a $$=$$ length of each side of the heptagon.<br>\r\nTherefore, Perimeter $$= 7 \\\\times 12 = 84$$ cm\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the perimeter of an irregular heptagon with sides measuring 10 cm, 12 cm, 14 cm, 16 cm, 18 cm, 20 cm, and 22 cm.\",\n                    \"text\": \"Find the perimeter of an irregular heptagon with sides measuring 10 cm, 12 cm, 14 cm, 16 cm, 18 cm, 20 cm, and 22 cm.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Perimeter $$=$$ sum of all sides<br>\r\nTherefore, the perimeter of a given irregular heptagon $$= 10 \\\\text{cm} + 12 \\\\text{cm} + 14 \\\\text{cm} + 16 \\\\text{cm} + 18 \\\\text{cm} + 20 \\\\text{cm} + 22 \\\\text{cm} = 112 \\\\text{cm}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"132 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter $$=$$ sum of all sides<br>\r\nTherefore, the perimeter of a given irregular heptagon $$= 10 \\\\text{cm} + 12 \\\\text{cm} + 14 \\\\text{cm} + 16 \\\\text{cm} + 18 \\\\text{cm} + 20 \\\\text{cm} + 22 \\\\text{cm} = 112 \\\\text{cm}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"168 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter $$=$$ sum of all sides<br>\r\nTherefore, the perimeter of a given irregular heptagon $$= 10 \\\\text{cm} + 12 \\\\text{cm} + 14 \\\\text{cm} + 16 \\\\text{cm} + 18 \\\\text{cm} + 20 \\\\text{cm} + 22 \\\\text{cm} = 112 \\\\text{cm}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"240 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter $$=$$ sum of all sides<br>\r\nTherefore, the perimeter of a given irregular heptagon $$= 10 \\\\text{cm} + 12 \\\\text{cm} + 14 \\\\text{cm} + 16 \\\\text{cm} + 18 \\\\text{cm} + 20 \\\\text{cm} + 22 \\\\text{cm} = 112 \\\\text{cm}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"112 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter $$=$$ sum of all sides<br>\r\nTherefore, the perimeter of a given irregular heptagon $$= 10 \\\\text{cm} + 12 \\\\text{cm} + 14 \\\\text{cm} + 16 \\\\text{cm} + 18 \\\\text{cm} + 20 \\\\text{cm} + 22 \\\\text{cm} = 112 \\\\text{cm}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter $$=$$ sum of all sides<br>\r\nTherefore, the perimeter of a given irregular heptagon $$= 10 \\\\text{cm} + 12 \\\\text{cm} + 14 \\\\text{cm} + 16 \\\\text{cm} + 18 \\\\text{cm} + 20 \\\\text{cm} + 22 \\\\text{cm} = 112 \\\\text{cm}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find out the length of each side of a regular heptagon whose perimeter is 154.\",\n                    \"text\": \"Find out the length of each side of a regular heptagon whose perimeter is 154.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Perimeter $$= 7 \\\\times \\\\text{a}$$, where  a $$=$$ length of each side of the heptagon,<br>\r\nTherefore, Perimeter $$= 7 \\\\times \\\\text{a} = 154$$ cm<br>\r\n$$\\\\text{a} = 1547<br>\r\na = 22<br>\r\nThe side is 22 cm.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"29 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter $$= 7 \\\\times \\\\text{a}$$, where  a $$=$$ length of each side of the heptagon,<br>\r\nTherefore, Perimeter $$= 7 \\\\times \\\\text{a} = 154$$ cm<br>\r\n$$\\\\text{a} = 1547<br>\r\na = 22<br>\r\nThe side is 22 cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"15 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter $$= 7 \\\\times \\\\text{a}$$, where  a $$=$$ length of each side of the heptagon,<br>\r\nTherefore, Perimeter $$= 7 \\\\times \\\\text{a} = 154$$ cm<br>\r\n$$\\\\text{a} = 1547<br>\r\na = 22<br>\r\nThe side is 22 cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"30 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter $$= 7 \\\\times \\\\text{a}$$, where  a $$=$$ length of each side of the heptagon,<br>\r\nTherefore, Perimeter $$= 7 \\\\times \\\\text{a} = 154$$ cm<br>\r\n$$\\\\text{a} = 1547<br>\r\na = 22<br>\r\nThe side is 22 cm.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"22 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter $$= 7 \\\\times \\\\text{a}$$, where  a $$=$$ length of each side of the heptagon,<br>\r\nTherefore, Perimeter $$= 7 \\\\times \\\\text{a} = 154$$ cm<br>\r\n$$\\\\text{a} = 1547<br>\r\na = 22<br>\r\nThe side is 22 cm.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter $$= 7 \\\\times \\\\text{a}$$, where  a $$=$$ length of each side of the heptagon,<br>\r\nTherefore, Perimeter $$= 7 \\\\times \\\\text{a} = 154$$ cm<br>\r\n$$\\\\text{a} = 1547<br>\r\na = 22<br>\r\nThe side is 22 cm.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-b950c536-ee03-4502-b549-c82a6b7e7fe0\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-b950c536-ee03-4502-b549-c82a6b7e7fe0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b950c536-ee03-4502-b549-c82a6b7e7fe0\"><strong>How many angles are there in a heptagon?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-b950c536-ee03-4502-b549-c82a6b7e7fe0\">\n\n<p class=\"wp-block-paragraph\">There are 7 angles in a heptagon.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-b950c536-ee03-4502-b549-c82a6b7e7fe0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b950c536-ee03-4502-b549-c82a6b7e7fe0\"><strong>What is the difference between regular and irregular heptagon?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-b950c536-ee03-4502-b549-c82a6b7e7fe0\">\n\n<p class=\"wp-block-paragraph\">All the sides of a regular heptagon are equal in length, and all angles are equal in degree, while those of an irregular heptagon may vary. Also, there are no parallel sides in a regular heptagon, while there may be some in an irregular heptagon.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-b950c536-ee03-4502-b549-c82a6b7e7fe0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b950c536-ee03-4502-b549-c82a6b7e7fe0\"><strong>How many diagonals can you draw in a convex heptagon?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-b950c536-ee03-4502-b549-c82a6b7e7fe0\">\n\n<p class=\"wp-block-paragraph\">There are 14 diagonals in a convex heptagon, all of which lie inside the heptagon.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-b950c536-ee03-4502-b549-c82a6b7e7fe0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b950c536-ee03-4502-b549-c82a6b7e7fe0\"><strong>What is the area of a heptagon?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-b950c536-ee03-4502-b549-c82a6b7e7fe0\">\n\n<p class=\"wp-block-paragraph\">Area of a heptagon is the space occupied by the heptagon. If the length of the side of a regular heptagon is s, its area can be calculated using the simplified formula $3.634 \\times s^2$.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What is a Heptagon? A heptagon is a two-dimensional shape with 7 sides and 7 angles. It belongs to the class of polygons in two-dimensional geometry. Polygons are closed shapes made up of straight lines and no curves. \u201cHepta\u201d means seven and \u201cgonia\u201d means angle in the Greek language. By combining these two words, the &#8230; <a title=\"Heptagon &#8211; Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/heptagon\" aria-label=\"More on Heptagon &#8211; Definition with Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1565","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1565","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1565"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1565\/revisions"}],"predecessor-version":[{"id":40043,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1565\/revisions\/40043"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1565"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1565"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1565"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}